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Elliptic complex
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51	A natural smooth compactification of the space of elliptic curves in projective space via blowing up the space of stable maps Ravi Vakil and Aleksey Zinger The moduli space of stable maps Mg,k (X, β) to a complex projec Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2006-07-13 09:52:48 Symplectic topology String theory Moduli theory Complex manifolds Gromov–Witten invariant Stable map Moduli space Resolution of singularities Projective space Geometry Abstract algebra Algebraic geometry
52 $Complex analysis / Analytic functions / Integral transforms / Transforms / Continued fraction / Pierre de Fermat / Hypergeometric function / Complex plane / Jacobi elliptic functions / Mathematical analysis / Mathematics / Elliptic functions$	THE FERMAT CUBIC, ELLIPTIC FUNCTIONS, CONTINUED FRACTIONS, AND A COMBINATORIAL EXCURSION ERIC VAN FOSSEN CONRAD AND PHILIPPE FLAJOLET Kindly dedicated to G´ erard · · · Xavier Viennot on the occasion of his sixtieth Add to Reading List Source URL: algo.inria.fr Language: English - Date: 2006-03-25 12:23:30 Complex analysis Analytic functions Integral transforms Transforms Continued fraction Pierre de Fermat Hypergeometric function Complex plane Jacobi elliptic functions Mathematical analysis Mathematics Elliptic functions
53	Expansions in complex bases Anna Chiara Lai Dipartimento di Scienze di Base e Applicate per l’Ingegneria Sapienza Universit` a di Roma Add to Reading List Source URL: www.cant.ulg.ac.be Language: English - Date: 2011-06-06 05:44:06 Non-standard positional numeral systems Group theory Field theory Complex number Elliptic curve Quater-imaginary base Algebraic number field Curve CW complex Abstract algebra Mathematics Topology
54	Constructing Abelian Varieties for Pairing-Based Cryptography Constructing Abelian Varieties for Add to Reading List Source URL: theory.stanford.edu Language: English - Date: 2009-05-04 09:49:01 Abelian varieties Algebraic curves Cryptography Finite fields Hasse–Witt matrix Weil pairing Supersingular elliptic curve Tate pairing Complex multiplication Abstract algebra Algebra Elliptic curves
55	Constructing Abelian Varieties for Pairing-Based Cryptography by David Stephen Freeman A.B. (Harvard University) 2002 Add to Reading List Source URL: theory.stanford.edu Language: English - Date: 2008-06-06 19:27:52 Elliptic curves Abelian varieties Cryptography Finite fields Complex multiplication Supersingular elliptic curve Pairing Abelian surface Frobenius endomorphism Abstract algebra Algebra Algebraic surfaces
56	Topological Modular Forms, the Witten Genus, and the Theorem of the Cube MICHAEL J. HOPKINS Department of Mathematics, Massachusetts Institute of Technology Cambridge, MA 02139, USA Add to Reading List Source URL: www.mathunion.org Language: English - Date: 2012-04-18 10:52:09 Mathematics Elliptic cohomology Topological modular forms Cobordism Atiyah–Singer index theorem Elliptic curve Complex cobordism Genus of a multiplicative sequence Cohomology Abstract algebra Topology Algebraic topology
57	The complex AGM and periods of elliptic curves over C John Cremona University of Warwick Plan Add to Reading List Source URL: homepages.warwick.ac.uk Language: English - Date: 2013-10-28 12:50:35 Abstract algebra Elliptic curve Arithmetic-geometric mean Elliptic integral Fundamental pair of periods Mathematical analysis Elliptic functions Mathematics
58	Elliptic Curves and Complex Multiplication Michel Waldschmidt September 11, 2003 Saint-Etienne, May 1982 Notes by A. Faisant, R. Lardon, G. Philibert Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:04:09 Analytic number theory Elliptic functions Modular form Moduli theory Elliptic curve Complex multiplication Riemann surface Algebraic number field Constructible universe Abstract algebra Mathematical analysis Mathematics
59	MUMFORD-TATE GROUPS AND ABELIAN VARIETIES PETE L. CLARK 1. Introduction These are notes for a lecture in Elham Izadi’s 2006 VIGRE seminar on the Hodge Conjecture. Add to Reading List Source URL: math.uga.edu Language: English - Date: 2006-11-09 20:58:22 Mumford–Tate group Hodge structure Hodge conjecture Abelian variety Abelian group Representation theory Elliptic curve Algebraic group Complex multiplication Abstract algebra Algebra Hodge theory
60	CONGRUENT NUMBERS, ELLIPTIC CURVES, AND MODULAR FORMS GUY HENNIART 1. Invitation to the voyage An integer n ≥ 1 is called congruent if it is the area of a right triangle Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:29 Analytic number theory Number theory Group theory Elliptic curve Modular forms Finite fields Birch and Swinnerton-Dyer conjecture Algebraic number field Complex multiplication Abstract algebra Mathematics Mathematical analysis

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